一类四元零相关区非周期互补序列集构造法

A Construction of Quaternary Aperiodic Complementary Sequence Sets with Zero Correlation Zone

零相关区非周期互补序列集在多载波码分多址通信系统中有着重要应用.已有的四元零相关区非周期互补序列集构造方法都是基于二元或四元零相关区互补序列集,得到的序列集参数受到初始互补序列集参数的限制.该文给出了一种构造法,利用四元正交序列集来构造四元非周期互补序列集.本文方法得到的序列集参数达到理论界限,并且零相关区长度可以灵活设定以满足不同的应用场合.另外给出了两类基于二元正交矩阵的四元正交序列集的构造方法,得到的四元正交序列集可以用于构造四元零相关区非周期互补序列集.二元正交矩阵存在数目很多,因此本文方法可以为多载波码分多址系统提供大量四元非周期互补序列集.

Zero correlation zone （ZCZ） aperiodic complementary sequence sets （ZACS） are widely used in multi-carders code division multiple access （CDMA） communication systems. The known constructions of quaternary ZACSs are all based on bi- nary or quaternary ZACSs, and the parameters of the quaternary ZACSs constructed by these methods are restricted by the parame- ters of initial ZACSs. This paper proposed a construction of quaternary ZACS based on quaternary orthogonal sequence sets. The quaternary ZACSs constructed in this paper are optimal with respect to the bound, and the length of ZCZ can be flexibly chosen for many applications. Moreover, two constructions of quaternary orthogonal sequence sets are proposed based on binary orthogonal ma- trices. Since there are a large number of available binary orthogonal matrices, the proposed construction can produce a lot of quater- nary ZACSs for multi-carriers CDMA systems.